PRE-EMPTIVE GOAL PROGRAMMING METHOD FOR OPTIMIZING PRODUCTION PLANNING

  • Ihda Hasbiyati Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia
  • Rama Desri Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia
  • Moh Danil Hendry Gamal Department of Mathematics, Faculty of Mathematics and Science, University of Riau, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss1pp0065-0074
Keywords: Production planning, Decision making, Goal programming, Pre-emptive goal programming

Abstract

In this paper the mathematical modelling of production planning is put forward using the pre-emptive goal programming method for priority based decision making. The objective of this problem is to design production planning satisfying the specified constraints while minimizing deviations from each goal to be achieved. The goals consist of five types of best seller bread, production profits, production costs, production quantities, and availability of bread raw materials. LINGO 11.0 package is implemented for computational purposes. Computational results show that the pre-emptive goal programming is an efficient method for optimizing production planning of multiple goals based on the order of priority.

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References

A. Charnes and W. W. Cooper, Management Model and Industrial Application of Linear Programming, vol. 1, New York: Wiley, 1961.

S. M. Lee, Goal Programming for Decision Analysis, Philadelphia: Auerbach, 1972.

J. P. Ignizio, Introduction to Linear Goal Programming, Newbury Park: Sage Publications, 1985.

C. Romero, “Extended lexicographic goal programming: Aunifying approach,” Omega, vol. 29, no. 1, pp. 63-71, 2001.

M. Tamiz, D. Jones and C. Romero, “Goal programming fordecision making: An overview of the current state-of-the-art,” European Journal of Operational Research, vol. 111, no. 11, pp. 567-581, 1998.

H. L. Li, “An efficient method for solving linear goalprogramming problems, , 90 (1996), 465–469.,” Journals of Optimization Theory and Applications, vol. 90, no. 1, pp. 465-469, 1996.

C. T. Chang, “Multi-choise goal programming,” The International Journal of Management Science, vol. 35, no. 2, pp. 389-396, 2004.

K. K. Patro, M. M. Archarya, M. P. Biswal and S. Archarya, “Computation of a multi-choice goal programming problem,” Applied Mathematics and Computation, vol. 271, no. 1, pp. 489-501, 2015.

D. Kumar and K. Sridhar, “Multi objectives operations decision by using goal programming for a small scale enterprise,” International Journal of Research in Engineering and Technology, vol. 4, no. 8, pp. 7-12, 2016.

N. Hassan, P. A. H. M, I. N. S and R. N. F, “A goal programming model for bakery production,” Advances in Environmental Biology, vol. 7, no. 1, pp. 187-190, 2013.

K. D and S. K, “Multi objectives operations decision by using goal programming for a small scale enterprise,” International Journal of Research in Engineering and Technology, vol. 4, no. 8, pp. 7-12, 2016.

A. N and A. N. &. I. A. I. I. A. Akpan, N., & . A. Iwok, I. A, “Application of linear programming for optimal use of raw materials in bakery,” International Journal of Mathematics and Statistics Invention, vol. 4, no. 8, pp. 489-501, 2016.

Thaha. A. H, Operations Research: An Introduction, 9nd ed., New York: Prentice Hall, Upper Saddle River, 2007.

Winston. W. L., Operations Research: Applications and Algorithms, 4nd ed., Belmont: Thomson Learning, 2004.

I. J. P, Introduction to Linear Goal Programming, Newbury Park: Sage Publications, 1985.

S. M. J, Goal Programming: Methodology and Applications, Lincoln: Springer, 1995.

Published
2023-04-15
How to Cite
[1]
I. Hasbiyati, R. Desri, and M. D. Gamal, “PRE-EMPTIVE GOAL PROGRAMMING METHOD FOR OPTIMIZING PRODUCTION PLANNING”, BAREKENG: J. Math. & App., vol. 17, no. 1, pp. 0065-0074, Apr. 2023.
Issue
Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Ihda Hasbiyati, Rama Desri, Moh Danil Hendry Gamal

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